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Finding the Fourth Proportional to 533,097.52, 735,672.80 and 291,379.96

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Solution

The fourth proportional to 533,097.52, 735,672.80 and 291,379.96 is: 402,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,097.52 : 735,672.80 = 291,379.96 : x
  2. Step 2: Convert to fraction form
    533,097.52/735,672.80 = 291,379.96/x
  3. Step 3: Cross multiply
    533,097.52x = 735,672.80 × 291,379.96
  4. Step 4: Simplify right side
    533,097.52x = 214,360,311,037.09
  5. Step 5: Solve for x
    x = 214,360,311,037.09/533,097.52
  6. Step 6: Final answer
    x = 402,103.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.